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Finding the Third Proportional to 1,919.11 and 4,041.98

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Solution

The third proportional to 1,919.11 and 4,041.98 is: 8,513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.11 : 4,041.98 = 4,041.98 : x
  2. Step 2: Convert to fraction form
    1,919.11/4,041.98 = 4,041.98/x
  3. Step 3: Cross multiply
    1,919.11x = 4,041.98 × 4,041.98
  4. Step 4: Simplify right side
    1,919.11x = 16,337,637.69
  5. Step 5: Solve for x
    x = 16,337,637.69/1,919.11
  6. Step 6: Final answer
    x = 8,513.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.